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11004020 = 225737537
BaseRepresentation
bin101001111110…
…100001110100
3202201001200022
4221332201310
510304112040
61031504312
7162350456
oct51764164
922631608
1011004020
116236535
123828098
132383871
1416662d6
15e756b5
hexa7e874

11004020 has 24 divisors (see below), whose sum is σ = 23428104. Its totient is φ = 4340736.

The previous prime is 11004017. The next prime is 11004023. The reversal of 11004020 is 2040011.

It is an interprime number because it is at equal distance from previous prime (11004017) and next prime (11004023).

It can be written as a sum of positive squares in 4 ways, for example, as 1094116 + 9909904 = 1046^2 + 3148^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11003989 and 11004007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2309 + ... + 5228.

It is an arithmetic number, because the mean of its divisors is an integer number (976171).

Almost surely, 211004020 is an apocalyptic number.

11004020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11004020 is an abundant number, since it is smaller than the sum of its proper divisors (12424084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11004020 is a wasteful number, since it uses less digits than its factorization.

11004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7619 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 11004020 is about 3317.2307727983. The cubic root of 11004020 is about 222.4250978784.

Adding to 11004020 its reverse (2040011), we get a palindrome (13044031).

The spelling of 11004020 in words is "eleven million, four thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 7537 15074 30148 37685 75370 150740 550201 1100402 2200804 2751005 5502010 11004020